Least Common Multiple of 5534 and 5540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5534 and 5540 the smallest integer that is 15329180 that is divisible by both numbers.

Least Common Multiple (LCM) of 5534 and 5540 is 15329180.

LCM(5534,5540) = 15329180

LCM of 5534 and 5540

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5534 and 5540

LCM of 5534 and 5540 is 15329180

Least common multiple can be found by multiplying the highest exponent prime factors of 5534 and 5540. First we will calculate the prime factors of 5534 and 5540.

Prime Factorization of 5534


2 5534
2767 2767
1

Prime factors of 5534 are 2,2767. Prime factorization of 5534 in exponential form is:

5534 = 21×27671

Prime Factorization of 5540


2 5540
2 2770
5 1385
277 277
1

Prime factors of 5540 are 2, 5,277. Prime factorization of 5540 in exponential form is:

5540 = 22×51×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 5534 and 5540.

LCM(5534,5540) = 22×51×2771×27671
LCM(5534,5540) = 15329180

Factors of 5534

List of positive integer factors of 5534 that divides 5534 without a remainder.

1, 2, 2767, 5534

Factors of 5540

List of positive integer factors of 5540 that divides 5540 without a remainder.

1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540

Least Common Multiple of 5534 and 5540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5534 and 5540, than apply into the LCM equation.

GCF(5534,5540) = 2
LCM(5534,5540) = ( 5534 × 5540) / 2
LCM(5534,5540) = 30658360 / 2
LCM(5534,5540) = 15329180

Properties of LCM 5534 and 5540

(i) The LCM of 5540 and 5534 is associative

LCM of 5534 and 5540 = LCM of 5540 and 5534

Related Least Common Multiples of 5534

Related Least Common Multiples of 5540

Frequently Asked Questions on LCM of 5534 and 5540

1. What is the LCM of 5534 and 5540?

Answer: LCM of 5534 and 5540 is 15329180.

2. What are the Factors of 5534?

Answer: Factors of 5534 are 1, 2, 2767, 5534. There are 4 integers that are factors of 5534. The greatest factor of 5534 is 5534.

3. What are the Factors of 5540?

Answer: Factors of 5540 are 1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540. There are 12 integers that are factors of 5540. The greatest factor of 5540 is 5540.

4. How to Find the LCM of 5534 and 5540?

Answer:

Least Common Multiple of 5534 and 5540 = 15329180

Step 1: Find the prime factorization of 5534

5534 = 2 x 2767

Step 2: Find the prime factorization of 5540

5540 = 2 x 2 x 5 x 277

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 15329180 = 2 x 2 x 5 x 277 x 2767

Step 4: Therefore, the least common multiple of 5534 and 5540 is 15329180.